Find all the solutions to the given polynomial. x^4+x^2-20=0

Question

Lisa Moyer

Mathematics

8 September, 01:21

Find all the solutions to the given polynomial. x^4+x^2-20=0

+3

Answers (2)

Know the Answer?

Alina Bartlett · Answer 1

1: Factor the problem

(x^2+5) (x^2-4) = 0

2: Set each equal to 0

x^2+5=0

x^2-4=0

3: Solve Each

x^2=-5

- Cannot take square root of a negative, therefore extraneous

x^2=4

x = 2, - 2

Ronnie Haas · Answer 2

Find all the solutions to the given polynomial. x^4+x^2-20=0 x^2+5=0

x^2-4=0, x^2=-5

x^2=4

x = 2, - 2